Absorption of solar radiation by solar neutrinos

Abstract

We calculate the absorption probability of photons radiated from the surface of the Sun by a left-handed neutrino with definite mass and a typical momentum for which we choose |p_1|=0.2 MeV, producing a heavier right-handed antineutrino. Considering two transitions the ν_1 -> ν_2 and ν_2 -> ν_3 we obtain two oscillation lengths L_{12}=4960.8 m, L_{23}=198.4 m, two absorption probabilities P_{12}^{abs.}=2.5 10^{-67}, P_{23}^{abs.}=1.2 10^{-58} and the two absorption ranges R_{12}^{abs.}=4.47 10^4 R_{\odot}=208.0 au, R_{23}^{abs.}=0.89 10^4 R_{\odot}=41.4 au, using a neutrino mass differences of \sqrt{|Δm^2_{12}|}=10 meV, \sqrt{|Δm^2_{23}|}=50 meV and associated transition dipole moments. We collect all necessary theoretical ingredients, i.e. neutrino mass and mixing scheme, induced electromagnetic transition dipole moments, quadratic charged lepton mass asymmetries and their interdependence.

5 pages, 3 figures, typos corrected and reference added, version to appear in Eur. Phys. J. C